Answer:
(a) or
(b) or
Step-by-step explanation:
Given
--- North Dakota
--- Cheyenne, Wyoming
Solving (a): Inequality to compare both temperatures
From the given temperatures, we can conclude that:
or
Because
i.e. 1 is greater than -2
or
i.e. -2 is less than 1
Solving (b): Inequality to compare the absolute values of the temperatures
We have:
The absolute values are:
By comparison:
or
Because
i.e. 2 is greater than 1
or
i.e. 1 is less than 2
n, n + 2, n + 4 - three consecutive odd integers
the first is 33 less than twice the second
n - 33 = 2(n + 2) <em>use distributive property</em>
n - 33 = (2)(n) + (2)(2)
n - 33 = 2n + 4 <em>add 33 to both sides</em>
n = 2n + 37 <em>subtract 2n from both sides</em>
-n = 37 <em>change the signs</em>
n = 37
n + 2 = 37 + 2 = 39
n + 4 = 37 + 4 = 41
<h3>Answer: 37, 39, 41</h3>
Answer: 3.25 m
Step-by-step explanation:
as a tangency and a radius make a right angle, we can use Pythagoras.
c² = a² + b²
(r + 2)² = r² + 3²
r² + 4r + 4 = r² + 9
4r = 5
r = 1.25 m
so the official is standing 1.25 + 2 = 3.25 m from the center of the circle
This makes sense as a standard discus throwing circle is 2.5 m dia.
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The parent function is f(x)=√x.
This graph has been transformed by a translation left 6 units, a translation up 2 units, and a stretch by a factor of 2.
Adding a number at the end of a function results in a vertical translation.
Adding a number inside of a function, in this case under the square root, translates the graph horizontally.
Multiplying the variable by a number before another operation results in a stretch or shrink of the graph.